170.25 is what percent of 1546.33 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1546.33 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1546.33, so we can write it down as 100%=1546.33.
4. We know, that x% equals 170.25 of the output value, so we can write it down as x%=170.25.
5. Now we have two simple equations:
1) 100%=1546.33
2) x%=170.25
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1546.33/170.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.25 is what percent of 1546.33

100%/x%=1546.33/170.25
(100/x)*x=(1546.33/170.25)*x       - we multiply both sides of the equation by x
100=9.0827019089574*x       - we divide both sides of the equation by (9.0827019089574) to get x
100/9.0827019089574=x
11.009939663591=x
x=11.009939663591

now we have:
170.25 is 11.009939663591% of 1546.33